7,927,187

101 × 78487

Starting at 7,927,187, the Collatz iteration reaches 1 after 217 steps. The first transition is 23781562; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 101 × 78487

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,005,776

Proper Divisor Sum 78,589

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7927177 ← → #7927201

Radix Representation

Decimal	7927187
Binary	11110001111010110010011 (23 bits)
Octal	0o36172623
Hexadecimal	0x78F593

Divisor Catalog (4)

1 101 78,487 7,927,187

Collatz Trajectory (217 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,927,187 23,781,562 11,890,781 35,672,344 17,836,172 8,918,086 4,459,043 13,377,130 6,688,565 20,065,696 10,032,848 5,016,424 2,508,212 1,254,106 627,053 1,881,160 940,580 470,290 235,145 705,436 352,718 176,359 529,078 264,539 793,618 396,809 1,190,428 595,214 297,607 892,822 446,411 1,339,234 669,617 2,008,852 1,004,426 502,213 1,506,640 753,320 376,660 188,330 94,165 282,496 141,248 70,624 35,312 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383

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